Reference : An element nodal force-based large increment method for elastoplasticity

	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a journal
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/34888

Title :	An element nodal force-based large increment method for elastoplasticity
Language :	English
Author, co-author :	Long, Danbin [Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai, China]
	Guo, Zaoyang [Department of Civil Engineering, University of Glasgow, Glasgow G12 8LT, United Kingdom]
	Liu, Xila [Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai, China]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Zhang, Leiming [Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai, China]
Publication date :	2010
Journal title :	AIP Conference Proceedings
Volume :	1233
Issue/season :	PART 1
Pages :	1401-1405
Peer reviewed :	Yes
Audience :	International
ISSN :	0094243X
Event name :	2nd International Symposium on Computational Mechanics, ISCM II, and the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science, EPMESC XII
Event date :	30 November 2009 through 3 December 2009
Event place (city) :	Hong Kong, Macau
Keywords :	[en] Elastoplasticity ; Force method ; Generalised inverse of a matrix ; Large increment method
Abstract :	[en] This paper presents a new method for establishing the basic equations in the novel force-based large increment method (LIM) for continuum elastoplastic problems. In LIM, unlike traditional displacement methods, the (generalised) elemental force variables are adopted as system unknowns. The equilibrium equations can then be obtained directly at every nodal degree of freedom without physical equations (i.e., constitutive equations) involved. The generalised inverse of the non-square system of equations is employed to obtain the set of solutions of the non-square matrix equations directly. A conjugate gradient procedure is then used to find the correct solution from this set of solutions by optimising the compatibility of the solution based on the fact that the correct solution should also satisfy the constitutive equations and the compatibility equations. In this paper, the generalised elemental force variables are defined based on the element nodal forces. The LIM framework is therefore successfully applied to elements based on this definition. The efficiency and accuracy of the LIM are illustrated with a few benchmark problems and the results are compared with the analytical solution and the conventional displacement-based finite element method.
Funders :	K. C. Wong Education Foundation;Macao Foundation;Macau Government Tourist Office;Science and Technology Development Fund of Macao SAR;University of Macau
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/34888
DOI :	10.1063/1.3452111

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